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Finding the Third Proportional to 268,909.50 and 573,147

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Solution

The third proportional to 268,909.50 and 573,147 is: 1,221,591.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,909.50 : 573,147 = 573,147 : x
  2. Step 2: Convert to fraction form
    268,909.50/573,147 = 573,147/x
  3. Step 3: Cross multiply
    268,909.50x = 573,147 × 573,147
  4. Step 4: Simplify right side
    268,909.50x = 328,497,483,609
  5. Step 5: Solve for x
    x = 328,497,483,609/268,909.50
  6. Step 6: Final answer
    x = 1,221,591.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.